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1 year ago

What is value of x? Enter your answer in the box.

Mathematics

1 answer:

marin [14]1 year ago

8 0

Answer:

$x \ = \ 10$

Step-by-step explanation:

Let point $D$ be the point where the straight line drawn from point $A$ meets the straight line $BC$ , it is evident that $\triangle ABD$ and $\triangle ACD$ is similar given that both triangles share the same angle, $\angle BAD \ = \ \angle DAC$ . Hence, the ratio of the sides of each triangle is the same. Specifically,

$\displaystyle{\frac{x+4}{8} \ = \ \frac{2x+1}{12}}$ .

Performing cross multiplication yields

$12\left(x+4\right) \ = \ 8\left(2x+1\right) \\ \\ \rule{0.15cm}{0cm}12x+48 \ = \ 16x+8 \\ \\ \rule{1.1cm}{0cm} 4x \ = \ 40 \\ \\ \rule{1.3cm}{0cm} x \ = \ 10$ .

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In arguing against the death penalty, Amnesty International has pointed out supposed inequities, such as the many times a black

uysha [10]

Answer:

(a) 0.2824

(b) 0.0002441

Step-by-step explanation:

Assuming that the population is large enough to behave as a binomial distribution (between whites and non-whites), the probability of 12 out of 12 juros being white is:

$P(w=12) = p(w)^{12}$

Where p(w) is the proportion of the population that is white:

(a) for p = 0.90

$P(w=12) = 0.90^{12}\\P(w=12) =0.2824$

The probability is 0.2824.

(b) for p = 0.50

$P(w=12) = 0.50^{12}\\P(w=12) =0.0002441$

The probability is 0.0002441.

5 0

3 years ago

-7/12 + 3/8 = _____<br> help please.

In-s [12.5K]

Answer:

-5/24

Step-by-step explanation:

Find a common denominator:

-7/12 times 2= -14/24

3/8 times 3= 9/24

-14/24 +9/24 =5/24

8 0

3 years ago

Read 2 more answers

Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14

denis-greek [22]

Answer:

Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation:

Given : a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

We know mean of data lies in middle.

And standard deviation is distribute equally about the mean that is 50% of values less than the mean and 50% greater than the mean.

So, 68% of data lies

mean - standard deviation = 14 - 4 = 10

mean + standard deviation = 14 + 4 = 18

So, 68% of the data points lie between 10 and 18.

4 0

3 years ago

The number of bags of soybean seeds N that a farmer needs varies jointly as the number of acres a to the planted and the pounds

frozen [14]

Answer:

N= 15000

Step-by-step explanation:

7 0

3 years ago

A system of equations is shown below. Which of the following statements describes the graph of this system of equations in the (

ollegr [7]

The given system of equations represent a single line with positive slope. So option C is correct.

<u>SOLUTION: </u>

Given system of equations are

$\begin{array}{l}{3 y-5 x=15 \rightarrow(1)} \\\\ {6 y-10 x=30 \rightarrow(2)}\end{array}$

Now, if we observe, $(1) \times 2 \rightarrow(2)$ multiplying the $1^{st}$ equation with 2 results in $2^{nd}$ equation.

which means the two line equations represents the same line.

Now, let us find the slope of line, $\text { slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-3}{-5}=\frac{3}{5}=\text { positive slope }$

So, the line has a positive slope.

5 0

3 years ago